Let g(x) = / f(t) at, where f is the function whose graph is shown. 4 (a) Evaluate g(-12) and g(12). 9(-12) = g(12) = (b) Estimate g(8), g(-4), and g(0). 9(8) = g(-4) = g(0) = (c) On what interval is g increasing? (Enter your answer using interval notation.) (d) Where does g have an absolute maximum value? X =(e) Sketch a rough graph org. (0 y y y y 16 16 32 ' X 4 4 O (D 0 0 (D 0 Use the graph in part (a) to sketch the graph of g '(X). Compare with the graph of f. y y 4 4 X 4 4 O (D 0 0 (D O